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20222433232 = 2417536072311
BaseRepresentation
bin10010110101010110…
…011101011111010000
31221012100002001021121
4102311112131133100
5312403420330412
613142352532024
71314062563201
oct226526353720
957170061247
1020222433232
118638044441
123b04551014
131ba37b7a31
14d9ba675a8
157d5557107
hex4b559d7d0

20222433232 has 80 divisors (see below), whose sum is σ = 42356431872. Its totient is φ = 9317468160.

The previous prime is 20222433169. The next prime is 20222433263. The reversal of 20222433232 is 23233422202.

It is a junction number, because it is equal to n+sod(n) for n = 20222433197 and 20222433206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8749357 + ... + 8751667.

Almost surely, 220222433232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222433232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21178215936).

20222433232 is an abundant number, since it is smaller than the sum of its proper divisors (22133998640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20222433232 is a wasteful number, since it uses less digits than its factorization.

20222433232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 20222433232 its reverse (23233422202), we get a palindrome (43455855434).

The spelling of 20222433232 in words is "twenty billion, two hundred twenty-two million, four hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 607 848 901 1214 1802 2311 2428 3604 4622 4856 7208 9244 9712 10319 14416 18488 20638 32171 36976 39287 41276 64342 78574 82552 122483 128684 157148 165104 244966 257368 314296 489932 514736 546907 628592 979864 1093814 1402777 1959728 2082211 2187628 2805554 4164422 4375256 5611108 8328844 8750512 11222216 16657688 22444432 23847209 33315376 47694418 74347181 95388836 148694362 190777672 297388724 381555344 594777448 1189554896 1263902077 2527804154 5055608308 10111216616 20222433232